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Finding the Fourth Proportional to 12,471.18, 18,709.74 and 4,680.06

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Solution

The fourth proportional to 12,471.18, 18,709.74 and 4,680.06 is: 7,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.18 : 18,709.74 = 4,680.06 : x
  2. Step 2: Convert to fraction form
    12,471.18/18,709.74 = 4,680.06/x
  3. Step 3: Cross multiply
    12,471.18x = 18,709.74 × 4,680.06
  4. Step 4: Simplify right side
    12,471.18x = 87,562,705.78
  5. Step 5: Solve for x
    x = 87,562,705.78/12,471.18
  6. Step 6: Final answer
    x = 7,021.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.